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Suppose that the functions g and h are defined for all real numbers as follows: g(x)=3x+5 h(x)=6x Write the expressions for (h+g)(x) and (h-g)(x)and evaluate (h*g)(2).
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Suppose that the functions g and h are defined for all real numbers as follows:

g(x)=3x+5
h(x)=6x

Write the expressions for (h+g)(x) and (h-g)(x)and evaluate (h*g)(2).

User Forepick
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(h+g)(x) = 3x + 5 + 6x = 9x + 5Answer

(h - g)(x) = 6x - (3x + 5) = 3x- 5 Answer

(h*g)(x) = 6x(3x + 5) = 18x^2 + 30x

(h*g)(2) = 18(4) + 30(2) = 72 + 60 = 132 Answer

User Salamey
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